Question

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Answer 1

Answer:

(i) Given points:

1. (2,6)
2. (3,8)
3. (-1,y)

To find: The value of y

Proof:

Let

• A= (2,6)= $(x_{1} , y_{1} )$
• B= (3,8)= $(x_{2} , y_{2} )$
• C= (-1,y) = $(x_{3} , y_{3} )$

According to the question, A, B and C lie on the same line, i.e. they are collinear.

Hence,

Area of Δ ABC = 0

=> $(\frac{1}{2} ) X [ x_{1} (y_{2} - y_{3}) + x_{2} ( y_{3} - y_{1}) + x_{3}(y_{1} - y_{2})]$

Substituting the values we get:

P.F.A the answer:

Hope you got that.

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Answer 2

Answer:

(i) Given points:

(2,6)

(3,8)

(-1,y)

To find: The value of y

Proof:

Let

A= (2,6)=  

B= (3,8)=  

C= (-1,y) =  

According to the question, A, B and C lie on the same line, i.e. they are collinear.

Hence,

Area of Δ ABC = 0

=>  

Substituting the values we get:

Step-by-step explanation:

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